Home Physics System of Particles Rotational Motion Kinetic Energy, Work and Power A thin hollow cylinder open at both ends: (i…
Physics System of Particles Rotational Motion Kinetic Energy, Work and Power MCQ (Single Correct)

A thin hollow cylinder open at both ends:

(i) Slides without rotating

(ii) Rolls without slipping, with the same speed.

The ratio of kinetic energy in the two cases is

A
1 : 1
B
4 : 1
C
1 : 2
D
2 : 1

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Text Solution

Verified by Experts
The correct answer is:
C

Given: a thin hollow cylinder open at both ends slides without rotating and then rolls without slipping with the same speed.
To find the ratio of kinetic energies in the two cases
Solution:
When hollow cylinder slides without rolling, it posses only transnational Kinetic energy

When it rolls slipping, it posses both type of Kinetic energy

Therefore

and for hollow cylinder
So the above equation becomes,

Hence the ratio of kinetic energies in the two cases is

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